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Finding the Third Proportional to 62,547.50 and 127,642

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Solution

The third proportional to 62,547.50 and 127,642 is: 260,481.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,547.50 : 127,642 = 127,642 : x
  2. Step 2: Convert to fraction form
    62,547.50/127,642 = 127,642/x
  3. Step 3: Cross multiply
    62,547.50x = 127,642 × 127,642
  4. Step 4: Simplify right side
    62,547.50x = 16,292,480,164
  5. Step 5: Solve for x
    x = 16,292,480,164/62,547.50
  6. Step 6: Final answer
    x = 260,481.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.