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Finding the Third Proportional to 63,080 and 97,670

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Solution

The third proportional to 63,080 and 97,670 is: 151,227.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,080 : 97,670 = 97,670 : x
  2. Step 2: Convert to fraction form
    63,080/97,670 = 97,670/x
  3. Step 3: Cross multiply
    63,080x = 97,670 × 97,670
  4. Step 4: Simplify right side
    63,080x = 9,539,428,900
  5. Step 5: Solve for x
    x = 9,539,428,900/63,080
  6. Step 6: Final answer
    x = 151,227.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.