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Finding the Third Proportional to 97,371 and 150,363

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Solution

The third proportional to 97,371 and 150,363 is: 232,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,371 : 150,363 = 150,363 : x
  2. Step 2: Convert to fraction form
    97,371/150,363 = 150,363/x
  3. Step 3: Cross multiply
    97,371x = 150,363 × 150,363
  4. Step 4: Simplify right side
    97,371x = 22,609,031,769
  5. Step 5: Solve for x
    x = 22,609,031,769/97,371
  6. Step 6: Final answer
    x = 232,194.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.