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Finding the Third Proportional to 62,266 and 96,574

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Solution

The third proportional to 62,266 and 96,574 is: 149,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,266 : 96,574 = 96,574 : x
  2. Step 2: Convert to fraction form
    62,266/96,574 = 96,574/x
  3. Step 3: Cross multiply
    62,266x = 96,574 × 96,574
  4. Step 4: Simplify right side
    62,266x = 9,326,537,476
  5. Step 5: Solve for x
    x = 9,326,537,476/62,266
  6. Step 6: Final answer
    x = 149,785.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.