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Finding the Third Proportional to 61,482.16 and 92,280.30

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Solution

The third proportional to 61,482.16 and 92,280.30 is: 138,506.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,482.16 : 92,280.30 = 92,280.30 : x
  2. Step 2: Convert to fraction form
    61,482.16/92,280.30 = 92,280.30/x
  3. Step 3: Cross multiply
    61,482.16x = 92,280.30 × 92,280.30
  4. Step 4: Simplify right side
    61,482.16x = 8,515,654,633.22
  5. Step 5: Solve for x
    x = 8,515,654,633.22/61,482.16
  6. Step 6: Final answer
    x = 138,506.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.