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Finding the Third Proportional to 96,605.16 and 142,109.44

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Solution

The third proportional to 96,605.16 and 142,109.44 is: 209,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,605.16 : 142,109.44 = 142,109.44 : x
  2. Step 2: Convert to fraction form
    96,605.16/142,109.44 = 142,109.44/x
  3. Step 3: Cross multiply
    96,605.16x = 142,109.44 × 142,109.44
  4. Step 4: Simplify right side
    96,605.16x = 20,195,092,226.57
  5. Step 5: Solve for x
    x = 20,195,092,226.57/96,605.16
  6. Step 6: Final answer
    x = 209,047.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.