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Finding the Third Proportional to 58,377 and 89,023.50

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Solution

The third proportional to 58,377 and 89,023.50 is: 135,758.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,377 : 89,023.50 = 89,023.50 : x
  2. Step 2: Convert to fraction form
    58,377/89,023.50 = 89,023.50/x
  3. Step 3: Cross multiply
    58,377x = 89,023.50 × 89,023.50
  4. Step 4: Simplify right side
    58,377x = 7,925,183,552.25
  5. Step 5: Solve for x
    x = 7,925,183,552.25/58,377
  6. Step 6: Final answer
    x = 135,758.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.