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Finding the Third Proportional to 61,348 and 130,111

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Solution

The third proportional to 61,348 and 130,111 is: 275,948.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,348 : 130,111 = 130,111 : x
  2. Step 2: Convert to fraction form
    61,348/130,111 = 130,111/x
  3. Step 3: Cross multiply
    61,348x = 130,111 × 130,111
  4. Step 4: Simplify right side
    61,348x = 16,928,872,321
  5. Step 5: Solve for x
    x = 16,928,872,321/61,348
  6. Step 6: Final answer
    x = 275,948.24

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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.