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Finding the Third Proportional to 61,621.50 and 97,952.25

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Solution

The third proportional to 61,621.50 and 97,952.25 is: 155,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,621.50 : 97,952.25 = 97,952.25 : x
  2. Step 2: Convert to fraction form
    61,621.50/97,952.25 = 97,952.25/x
  3. Step 3: Cross multiply
    61,621.50x = 97,952.25 × 97,952.25
  4. Step 4: Simplify right side
    61,621.50x = 9,594,643,280.06
  5. Step 5: Solve for x
    x = 9,594,643,280.06/61,621.50
  6. Step 6: Final answer
    x = 155,702.85

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Why These Related Problems?

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