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Finding the Third Proportional to 63,423 and 83,416.50

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Solution

The third proportional to 63,423 and 83,416.50 is: 109,712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,423 : 83,416.50 = 83,416.50 : x
  2. Step 2: Convert to fraction form
    63,423/83,416.50 = 83,416.50/x
  3. Step 3: Cross multiply
    63,423x = 83,416.50 × 83,416.50
  4. Step 4: Simplify right side
    63,423x = 6,958,312,472.25
  5. Step 5: Solve for x
    x = 6,958,312,472.25/63,423
  6. Step 6: Final answer
    x = 109,712.76

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.