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Finding the Third Proportional to 108,712.13 and 159,483.94

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Solution

The third proportional to 108,712.13 and 159,483.94 is: 233,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,712.13 : 159,483.94 = 159,483.94 : x
  2. Step 2: Convert to fraction form
    108,712.13/159,483.94 = 159,483.94/x
  3. Step 3: Cross multiply
    108,712.13x = 159,483.94 × 159,483.94
  4. Step 4: Simplify right side
    108,712.13x = 25,435,126,320.50
  5. Step 5: Solve for x
    x = 25,435,126,320.50/108,712.13
  6. Step 6: Final answer
    x = 233,967.70

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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.