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Finding the Third Proportional to 60,264 and 130,248

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Solution

The third proportional to 60,264 and 130,248 is: 281,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,264 : 130,248 = 130,248 : x
  2. Step 2: Convert to fraction form
    60,264/130,248 = 130,248/x
  3. Step 3: Cross multiply
    60,264x = 130,248 × 130,248
  4. Step 4: Simplify right side
    60,264x = 16,964,541,504
  5. Step 5: Solve for x
    x = 16,964,541,504/60,264
  6. Step 6: Final answer
    x = 281,503.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.