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Finding the Third Proportional to 127,737 and 193,387.50

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Solution

The third proportional to 127,737 and 193,387.50 is: 292,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,737 : 193,387.50 = 193,387.50 : x
  2. Step 2: Convert to fraction form
    127,737/193,387.50 = 193,387.50/x
  3. Step 3: Cross multiply
    127,737x = 193,387.50 × 193,387.50
  4. Step 4: Simplify right side
    127,737x = 37,398,725,156.25
  5. Step 5: Solve for x
    x = 37,398,725,156.25/127,737
  6. Step 6: Final answer
    x = 292,779.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.