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Finding the Third Proportional to 89,370 and 125,002.50

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Solution

The third proportional to 89,370 and 125,002.50 is: 174,841.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,370 : 125,002.50 = 125,002.50 : x
  2. Step 2: Convert to fraction form
    89,370/125,002.50 = 125,002.50/x
  3. Step 3: Cross multiply
    89,370x = 125,002.50 × 125,002.50
  4. Step 4: Simplify right side
    89,370x = 15,625,625,006.25
  5. Step 5: Solve for x
    x = 15,625,625,006.25/89,370
  6. Step 6: Final answer
    x = 174,841.95

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