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Finding the Third Proportional to 72,337.50 and 112,648.50

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Solution

The third proportional to 72,337.50 and 112,648.50 is: 175,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,337.50 : 112,648.50 = 112,648.50 : x
  2. Step 2: Convert to fraction form
    72,337.50/112,648.50 = 112,648.50/x
  3. Step 3: Cross multiply
    72,337.50x = 112,648.50 × 112,648.50
  4. Step 4: Simplify right side
    72,337.50x = 12,689,684,552.25
  5. Step 5: Solve for x
    x = 12,689,684,552.25/72,337.50
  6. Step 6: Final answer
    x = 175,423.32

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.