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Finding the Third Proportional to 116,970 and 185,953.13

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Solution

The third proportional to 116,970 and 185,953.13 is: 295,619.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,970 : 185,953.13 = 185,953.13 : x
  2. Step 2: Convert to fraction form
    116,970/185,953.13 = 185,953.13/x
  3. Step 3: Cross multiply
    116,970x = 185,953.13 × 185,953.13
  4. Step 4: Simplify right side
    116,970x = 34,578,564,697.27
  5. Step 5: Solve for x
    x = 34,578,564,697.27/116,970
  6. Step 6: Final answer
    x = 295,619.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.