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Finding the Third Proportional to 124,464 and 196,416

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Solution

The third proportional to 124,464 and 196,416 is: 309,963.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,464 : 196,416 = 196,416 : x
  2. Step 2: Convert to fraction form
    124,464/196,416 = 196,416/x
  3. Step 3: Cross multiply
    124,464x = 196,416 × 196,416
  4. Step 4: Simplify right side
    124,464x = 38,579,245,056
  5. Step 5: Solve for x
    x = 38,579,245,056/124,464
  6. Step 6: Final answer
    x = 309,963.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.