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Finding the Third Proportional to 56,278 and 89,115

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Solution

The third proportional to 56,278 and 89,115 is: 141,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,278 : 89,115 = 89,115 : x
  2. Step 2: Convert to fraction form
    56,278/89,115 = 89,115/x
  3. Step 3: Cross multiply
    56,278x = 89,115 × 89,115
  4. Step 4: Simplify right side
    56,278x = 7,941,483,225
  5. Step 5: Solve for x
    x = 7,941,483,225/56,278
  6. Step 6: Final answer
    x = 141,111.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.