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Finding the Third Proportional to 63,044 and 97,750

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Solution

The third proportional to 63,044 and 97,750 is: 151,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,044 : 97,750 = 97,750 : x
  2. Step 2: Convert to fraction form
    63,044/97,750 = 97,750/x
  3. Step 3: Cross multiply
    63,044x = 97,750 × 97,750
  4. Step 4: Simplify right side
    63,044x = 9,555,062,500
  5. Step 5: Solve for x
    x = 9,555,062,500/63,044
  6. Step 6: Final answer
    x = 151,561.81

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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.