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Finding the Third Proportional to 45,624 and 97,553

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Solution

The third proportional to 45,624 and 97,553 is: 208,587.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,624 : 97,553 = 97,553 : x
  2. Step 2: Convert to fraction form
    45,624/97,553 = 97,553/x
  3. Step 3: Cross multiply
    45,624x = 97,553 × 97,553
  4. Step 4: Simplify right side
    45,624x = 9,516,587,809
  5. Step 5: Solve for x
    x = 9,516,587,809/45,624
  6. Step 6: Final answer
    x = 208,587.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.