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Finding the Third Proportional to 61,430 and 88,797

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Solution

The third proportional to 61,430 and 88,797 is: 128,355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,430 : 88,797 = 88,797 : x
  2. Step 2: Convert to fraction form
    61,430/88,797 = 88,797/x
  3. Step 3: Cross multiply
    61,430x = 88,797 × 88,797
  4. Step 4: Simplify right side
    61,430x = 7,884,907,209
  5. Step 5: Solve for x
    x = 7,884,907,209/61,430
  6. Step 6: Final answer
    x = 128,355.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.