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Finding the Third Proportional to 26,053 and 56,156

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Solution

The third proportional to 26,053 and 56,156 is: 121,041.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,053 : 56,156 = 56,156 : x
  2. Step 2: Convert to fraction form
    26,053/56,156 = 56,156/x
  3. Step 3: Cross multiply
    26,053x = 56,156 × 56,156
  4. Step 4: Simplify right side
    26,053x = 3,153,496,336
  5. Step 5: Solve for x
    x = 3,153,496,336/26,053
  6. Step 6: Final answer
    x = 121,041.58

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