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Finding the Third Proportional to 74,767.50 and 111,070.50

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Solution

The third proportional to 74,767.50 and 111,070.50 is: 165,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,767.50 : 111,070.50 = 111,070.50 : x
  2. Step 2: Convert to fraction form
    74,767.50/111,070.50 = 111,070.50/x
  3. Step 3: Cross multiply
    74,767.50x = 111,070.50 × 111,070.50
  4. Step 4: Simplify right side
    74,767.50x = 12,336,655,970.25
  5. Step 5: Solve for x
    x = 12,336,655,970.25/74,767.50
  6. Step 6: Final answer
    x = 165,000.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.