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Finding the Third Proportional to 56,702.50 and 83,413

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Solution

The third proportional to 56,702.50 and 83,413 is: 122,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,702.50 : 83,413 = 83,413 : x
  2. Step 2: Convert to fraction form
    56,702.50/83,413 = 83,413/x
  3. Step 3: Cross multiply
    56,702.50x = 83,413 × 83,413
  4. Step 4: Simplify right side
    56,702.50x = 6,957,728,569
  5. Step 5: Solve for x
    x = 6,957,728,569/56,702.50
  6. Step 6: Final answer
    x = 122,705.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.