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Finding the Third Proportional to 61,356.50 and 94,277

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Solution

The third proportional to 61,356.50 and 94,277 is: 144,860.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,356.50 : 94,277 = 94,277 : x
  2. Step 2: Convert to fraction form
    61,356.50/94,277 = 94,277/x
  3. Step 3: Cross multiply
    61,356.50x = 94,277 × 94,277
  4. Step 4: Simplify right side
    61,356.50x = 8,888,152,729
  5. Step 5: Solve for x
    x = 8,888,152,729/61,356.50
  6. Step 6: Final answer
    x = 144,860.82

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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.