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Finding the Third Proportional to 58,054 and 89,350

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Solution

The third proportional to 58,054 and 89,350 is: 137,517.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,054 : 89,350 = 89,350 : x
  2. Step 2: Convert to fraction form
    58,054/89,350 = 89,350/x
  3. Step 3: Cross multiply
    58,054x = 89,350 × 89,350
  4. Step 4: Simplify right side
    58,054x = 7,983,422,500
  5. Step 5: Solve for x
    x = 7,983,422,500/58,054
  6. Step 6: Final answer
    x = 137,517.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.