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Finding the Third Proportional to 63,044 and 97,613

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Solution

The third proportional to 63,044 and 97,613 is: 151,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,044 : 97,613 = 97,613 : x
  2. Step 2: Convert to fraction form
    63,044/97,613 = 97,613/x
  3. Step 3: Cross multiply
    63,044x = 97,613 × 97,613
  4. Step 4: Simplify right side
    63,044x = 9,528,297,769
  5. Step 5: Solve for x
    x = 9,528,297,769/63,044
  6. Step 6: Final answer
    x = 151,137.27

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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.