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Finding the Third Proportional to 58,225 and 89,034

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Solution

The third proportional to 58,225 and 89,034 is: 136,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,225 : 89,034 = 89,034 : x
  2. Step 2: Convert to fraction form
    58,225/89,034 = 89,034/x
  3. Step 3: Cross multiply
    58,225x = 89,034 × 89,034
  4. Step 4: Simplify right side
    58,225x = 7,927,053,156
  5. Step 5: Solve for x
    x = 7,927,053,156/58,225
  6. Step 6: Final answer
    x = 136,145.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.