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Finding the Third Proportional to 60,464 and 128,248

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Solution

The third proportional to 60,464 and 128,248 is: 272,022.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,464 : 128,248 = 128,248 : x
  2. Step 2: Convert to fraction form
    60,464/128,248 = 128,248/x
  3. Step 3: Cross multiply
    60,464x = 128,248 × 128,248
  4. Step 4: Simplify right side
    60,464x = 16,447,549,504
  5. Step 5: Solve for x
    x = 16,447,549,504/60,464
  6. Step 6: Final answer
    x = 272,022.19

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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.