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Finding the Third Proportional to 97,609 and 147,646

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Solution

The third proportional to 97,609 and 147,646 is: 223,333.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,609 : 147,646 = 147,646 : x
  2. Step 2: Convert to fraction form
    97,609/147,646 = 147,646/x
  3. Step 3: Cross multiply
    97,609x = 147,646 × 147,646
  4. Step 4: Simplify right side
    97,609x = 21,799,341,316
  5. Step 5: Solve for x
    x = 21,799,341,316/97,609
  6. Step 6: Final answer
    x = 223,333.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.