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Finding the Third Proportional to 52,711.50 and 84,307.50

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Solution

The third proportional to 52,711.50 and 84,307.50 is: 134,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,711.50 : 84,307.50 = 84,307.50 : x
  2. Step 2: Convert to fraction form
    52,711.50/84,307.50 = 84,307.50/x
  3. Step 3: Cross multiply
    52,711.50x = 84,307.50 × 84,307.50
  4. Step 4: Simplify right side
    52,711.50x = 7,107,754,556.25
  5. Step 5: Solve for x
    x = 7,107,754,556.25/52,711.50
  6. Step 6: Final answer
    x = 134,842.58

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.