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Finding the Third Proportional to 61,357.50 and 94,278.50

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Solution

The third proportional to 61,357.50 and 94,278.50 is: 144,863.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,357.50 : 94,278.50 = 94,278.50 : x
  2. Step 2: Convert to fraction form
    61,357.50/94,278.50 = 94,278.50/x
  3. Step 3: Cross multiply
    61,357.50x = 94,278.50 × 94,278.50
  4. Step 4: Simplify right side
    61,357.50x = 8,888,435,562.25
  5. Step 5: Solve for x
    x = 8,888,435,562.25/61,357.50
  6. Step 6: Final answer
    x = 144,863.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.