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Finding the Third Proportional to 26,490 and 56,139

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Solution

The third proportional to 26,490 and 56,139 is: 118,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,490 : 56,139 = 56,139 : x
  2. Step 2: Convert to fraction form
    26,490/56,139 = 56,139/x
  3. Step 3: Cross multiply
    26,490x = 56,139 × 56,139
  4. Step 4: Simplify right side
    26,490x = 3,151,587,321
  5. Step 5: Solve for x
    x = 3,151,587,321/26,490
  6. Step 6: Final answer
    x = 118,972.72

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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.