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Finding the Third Proportional to 61,612 and 97,938

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Solution

The third proportional to 61,612 and 97,938 is: 155,681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,612 : 97,938 = 97,938 : x
  2. Step 2: Convert to fraction form
    61,612/97,938 = 97,938/x
  3. Step 3: Cross multiply
    61,612x = 97,938 × 97,938
  4. Step 4: Simplify right side
    61,612x = 9,591,851,844
  5. Step 5: Solve for x
    x = 9,591,851,844/61,612
  6. Step 6: Final answer
    x = 155,681.55

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.