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Finding the Third Proportional to 61,492 and 130,328

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Solution

The third proportional to 61,492 and 130,328 is: 276,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,492 : 130,328 = 130,328 : x
  2. Step 2: Convert to fraction form
    61,492/130,328 = 130,328/x
  3. Step 3: Cross multiply
    61,492x = 130,328 × 130,328
  4. Step 4: Simplify right side
    61,492x = 16,985,387,584
  5. Step 5: Solve for x
    x = 16,985,387,584/61,492
  6. Step 6: Final answer
    x = 276,221.10

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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.