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Finding the Third Proportional to 25,306 and 55,312

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Solution

The third proportional to 25,306 and 55,312 is: 120,896.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,306 : 55,312 = 55,312 : x
  2. Step 2: Convert to fraction form
    25,306/55,312 = 55,312/x
  3. Step 3: Cross multiply
    25,306x = 55,312 × 55,312
  4. Step 4: Simplify right side
    25,306x = 3,059,417,344
  5. Step 5: Solve for x
    x = 3,059,417,344/25,306
  6. Step 6: Final answer
    x = 120,896.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.