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Finding the Third Proportional to 61,671 and 97,560

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Solution

The third proportional to 61,671 and 97,560 is: 154,334.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,671 : 97,560 = 97,560 : x
  2. Step 2: Convert to fraction form
    61,671/97,560 = 97,560/x
  3. Step 3: Cross multiply
    61,671x = 97,560 × 97,560
  4. Step 4: Simplify right side
    61,671x = 9,517,953,600
  5. Step 5: Solve for x
    x = 9,517,953,600/61,671
  6. Step 6: Final answer
    x = 154,334.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.