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Finding the Third Proportional to 111,112.50 and 169,402.50

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Solution

The third proportional to 111,112.50 and 169,402.50 is: 258,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,112.50 : 169,402.50 = 169,402.50 : x
  2. Step 2: Convert to fraction form
    111,112.50/169,402.50 = 169,402.50/x
  3. Step 3: Cross multiply
    111,112.50x = 169,402.50 × 169,402.50
  4. Step 4: Simplify right side
    111,112.50x = 28,697,207,006.25
  5. Step 5: Solve for x
    x = 28,697,207,006.25/111,112.50
  6. Step 6: Final answer
    x = 258,271.63

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.