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Finding the Third Proportional to 75,929.50 and 113,278.50

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Solution

The third proportional to 75,929.50 and 113,278.50 is: 168,999.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,929.50 : 113,278.50 = 113,278.50 : x
  2. Step 2: Convert to fraction form
    75,929.50/113,278.50 = 113,278.50/x
  3. Step 3: Cross multiply
    75,929.50x = 113,278.50 × 113,278.50
  4. Step 4: Simplify right side
    75,929.50x = 12,832,018,562.25
  5. Step 5: Solve for x
    x = 12,832,018,562.25/75,929.50
  6. Step 6: Final answer
    x = 168,999.12

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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.