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Finding the Third Proportional to 83,242.69 and 130,041.07

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Solution

The third proportional to 83,242.69 and 130,041.07 is: 203,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,242.69 : 130,041.07 = 130,041.07 : x
  2. Step 2: Convert to fraction form
    83,242.69/130,041.07 = 130,041.07/x
  3. Step 3: Cross multiply
    83,242.69x = 130,041.07 × 130,041.07
  4. Step 4: Simplify right side
    83,242.69x = 16,910,679,968.02
  5. Step 5: Solve for x
    x = 16,910,679,968.02/83,242.69
  6. Step 6: Final answer
    x = 203,149.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.