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Finding the Third Proportional to 58,532.63 and 89,991

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Solution

The third proportional to 58,532.63 and 89,991 is: 138,356.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,532.63 : 89,991 = 89,991 : x
  2. Step 2: Convert to fraction form
    58,532.63/89,991 = 89,991/x
  3. Step 3: Cross multiply
    58,532.63x = 89,991 × 89,991
  4. Step 4: Simplify right side
    58,532.63x = 8,098,380,081
  5. Step 5: Solve for x
    x = 8,098,380,081/58,532.63
  6. Step 6: Final answer
    x = 138,356.69

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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.