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Finding the Third Proportional to 60,570 and 92,974.50

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Solution

The third proportional to 60,570 and 92,974.50 is: 142,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,570 : 92,974.50 = 92,974.50 : x
  2. Step 2: Convert to fraction form
    60,570/92,974.50 = 92,974.50/x
  3. Step 3: Cross multiply
    60,570x = 92,974.50 × 92,974.50
  4. Step 4: Simplify right side
    60,570x = 8,644,257,650.25
  5. Step 5: Solve for x
    x = 8,644,257,650.25/60,570
  6. Step 6: Final answer
    x = 142,715.17

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.