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Finding the Third Proportional to 62,746 and 94,259

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Solution

The third proportional to 62,746 and 94,259 is: 141,598.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,746 : 94,259 = 94,259 : x
  2. Step 2: Convert to fraction form
    62,746/94,259 = 94,259/x
  3. Step 3: Cross multiply
    62,746x = 94,259 × 94,259
  4. Step 4: Simplify right side
    62,746x = 8,884,759,081
  5. Step 5: Solve for x
    x = 8,884,759,081/62,746
  6. Step 6: Final answer
    x = 141,598.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.