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Finding the Third Proportional to 71,700 and 113,911.50

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Solution

The third proportional to 71,700 and 113,911.50 is: 180,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,700 : 113,911.50 = 113,911.50 : x
  2. Step 2: Convert to fraction form
    71,700/113,911.50 = 113,911.50/x
  3. Step 3: Cross multiply
    71,700x = 113,911.50 × 113,911.50
  4. Step 4: Simplify right side
    71,700x = 12,975,829,832.25
  5. Step 5: Solve for x
    x = 12,975,829,832.25/71,700
  6. Step 6: Final answer
    x = 180,973.92

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.