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Finding the Third Proportional to 45,039 and 77,278.50

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Solution

The third proportional to 45,039 and 77,278.50 is: 132,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,039 : 77,278.50 = 77,278.50 : x
  2. Step 2: Convert to fraction form
    45,039/77,278.50 = 77,278.50/x
  3. Step 3: Cross multiply
    45,039x = 77,278.50 × 77,278.50
  4. Step 4: Simplify right side
    45,039x = 5,971,966,562.25
  5. Step 5: Solve for x
    x = 5,971,966,562.25/45,039
  6. Step 6: Final answer
    x = 132,595.45

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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.