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Finding the Third Proportional to 63,044 and 97,612

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Solution

The third proportional to 63,044 and 97,612 is: 151,134.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,044 : 97,612 = 97,612 : x
  2. Step 2: Convert to fraction form
    63,044/97,612 = 97,612/x
  3. Step 3: Cross multiply
    63,044x = 97,612 × 97,612
  4. Step 4: Simplify right side
    63,044x = 9,528,102,544
  5. Step 5: Solve for x
    x = 9,528,102,544/63,044
  6. Step 6: Final answer
    x = 151,134.17

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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.