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Finding the Third Proportional to 61,007 and 97,410

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Solution

The third proportional to 61,007 and 97,410 is: 155,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,007 : 97,410 = 97,410 : x
  2. Step 2: Convert to fraction form
    61,007/97,410 = 97,410/x
  3. Step 3: Cross multiply
    61,007x = 97,410 × 97,410
  4. Step 4: Simplify right side
    61,007x = 9,488,708,100
  5. Step 5: Solve for x
    x = 9,488,708,100/61,007
  6. Step 6: Final answer
    x = 155,534.74

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.