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Finding the Third Proportional to 72,416 and 101,167.50

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Solution

The third proportional to 72,416 and 101,167.50 is: 141,334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,416 : 101,167.50 = 101,167.50 : x
  2. Step 2: Convert to fraction form
    72,416/101,167.50 = 101,167.50/x
  3. Step 3: Cross multiply
    72,416x = 101,167.50 × 101,167.50
  4. Step 4: Simplify right side
    72,416x = 10,234,863,056.25
  5. Step 5: Solve for x
    x = 10,234,863,056.25/72,416
  6. Step 6: Final answer
    x = 141,334.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.