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Finding the Third Proportional to 116,045.81 and 156,572.44

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Solution

The third proportional to 116,045.81 and 156,572.44 is: 211,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,045.81 : 156,572.44 = 156,572.44 : x
  2. Step 2: Convert to fraction form
    116,045.81/156,572.44 = 156,572.44/x
  3. Step 3: Cross multiply
    116,045.81x = 156,572.44 × 156,572.44
  4. Step 4: Simplify right side
    116,045.81x = 24,514,928,184.69
  5. Step 5: Solve for x
    x = 24,514,928,184.69/116,045.81
  6. Step 6: Final answer
    x = 211,252.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.