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Finding the Third Proportional to 99,408 and 153,582

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Solution

The third proportional to 99,408 and 153,582 is: 237,279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,408 : 153,582 = 153,582 : x
  2. Step 2: Convert to fraction form
    99,408/153,582 = 153,582/x
  3. Step 3: Cross multiply
    99,408x = 153,582 × 153,582
  4. Step 4: Simplify right side
    99,408x = 23,587,430,724
  5. Step 5: Solve for x
    x = 23,587,430,724/99,408
  6. Step 6: Final answer
    x = 237,279.00

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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.