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Finding the Third Proportional to 124,752 and 264,464

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Solution

The third proportional to 124,752 and 264,464 is: 560,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,752 : 264,464 = 264,464 : x
  2. Step 2: Convert to fraction form
    124,752/264,464 = 264,464/x
  3. Step 3: Cross multiply
    124,752x = 264,464 × 264,464
  4. Step 4: Simplify right side
    124,752x = 69,941,207,296
  5. Step 5: Solve for x
    x = 69,941,207,296/124,752
  6. Step 6: Final answer
    x = 560,641.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.