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Finding the Third Proportional to 62,924 and 96,574

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Solution

The third proportional to 62,924 and 96,574 is: 148,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,924 : 96,574 = 96,574 : x
  2. Step 2: Convert to fraction form
    62,924/96,574 = 96,574/x
  3. Step 3: Cross multiply
    62,924x = 96,574 × 96,574
  4. Step 4: Simplify right side
    62,924x = 9,326,537,476
  5. Step 5: Solve for x
    x = 9,326,537,476/62,924
  6. Step 6: Final answer
    x = 148,219.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.