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Finding the Third Proportional to 100,656 and 148,032

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Solution

The third proportional to 100,656 and 148,032 is: 217,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,656 : 148,032 = 148,032 : x
  2. Step 2: Convert to fraction form
    100,656/148,032 = 148,032/x
  3. Step 3: Cross multiply
    100,656x = 148,032 × 148,032
  4. Step 4: Simplify right side
    100,656x = 21,913,473,024
  5. Step 5: Solve for x
    x = 21,913,473,024/100,656
  6. Step 6: Final answer
    x = 217,706.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.