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Finding the Third Proportional to 74,061.50 and 111,746.50

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Solution

The third proportional to 74,061.50 and 111,746.50 is: 168,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,061.50 : 111,746.50 = 111,746.50 : x
  2. Step 2: Convert to fraction form
    74,061.50/111,746.50 = 111,746.50/x
  3. Step 3: Cross multiply
    74,061.50x = 111,746.50 × 111,746.50
  4. Step 4: Simplify right side
    74,061.50x = 12,487,280,262.25
  5. Step 5: Solve for x
    x = 12,487,280,262.25/74,061.50
  6. Step 6: Final answer
    x = 168,606.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.