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Finding the Third Proportional to 61,062 and 96,511

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Solution

The third proportional to 61,062 and 96,511 is: 152,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,062 : 96,511 = 96,511 : x
  2. Step 2: Convert to fraction form
    61,062/96,511 = 96,511/x
  3. Step 3: Cross multiply
    61,062x = 96,511 × 96,511
  4. Step 4: Simplify right side
    61,062x = 9,314,373,121
  5. Step 5: Solve for x
    x = 9,314,373,121/61,062
  6. Step 6: Final answer
    x = 152,539.60

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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.