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Finding the Third Proportional to 99,371 and 147,706

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Solution

The third proportional to 99,371 and 147,706 is: 219,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,371 : 147,706 = 147,706 : x
  2. Step 2: Convert to fraction form
    99,371/147,706 = 147,706/x
  3. Step 3: Cross multiply
    99,371x = 147,706 × 147,706
  4. Step 4: Simplify right side
    99,371x = 21,817,062,436
  5. Step 5: Solve for x
    x = 21,817,062,436/99,371
  6. Step 6: Final answer
    x = 219,551.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.