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Finding the Third Proportional to 92,373.50 and 138,970.50

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Solution

The third proportional to 92,373.50 and 138,970.50 is: 209,072.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,373.50 : 138,970.50 = 138,970.50 : x
  2. Step 2: Convert to fraction form
    92,373.50/138,970.50 = 138,970.50/x
  3. Step 3: Cross multiply
    92,373.50x = 138,970.50 × 138,970.50
  4. Step 4: Simplify right side
    92,373.50x = 19,312,799,870.25
  5. Step 5: Solve for x
    x = 19,312,799,870.25/92,373.50
  6. Step 6: Final answer
    x = 209,072.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.