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Finding the Third Proportional to 58,138 and 89,475

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Solution

The third proportional to 58,138 and 89,475 is: 137,702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,138 : 89,475 = 89,475 : x
  2. Step 2: Convert to fraction form
    58,138/89,475 = 89,475/x
  3. Step 3: Cross multiply
    58,138x = 89,475 × 89,475
  4. Step 4: Simplify right side
    58,138x = 8,005,775,625
  5. Step 5: Solve for x
    x = 8,005,775,625/58,138
  6. Step 6: Final answer
    x = 137,702.98

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