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Finding the Third Proportional to 61,239 and 89,910

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Solution

The third proportional to 61,239 and 89,910 is: 132,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,239 : 89,910 = 89,910 : x
  2. Step 2: Convert to fraction form
    61,239/89,910 = 89,910/x
  3. Step 3: Cross multiply
    61,239x = 89,910 × 89,910
  4. Step 4: Simplify right side
    61,239x = 8,083,808,100
  5. Step 5: Solve for x
    x = 8,083,808,100/61,239
  6. Step 6: Final answer
    x = 132,004.25

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.