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Finding the Third Proportional to 58,114 and 89,435

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Solution

The third proportional to 58,114 and 89,435 is: 137,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,114 : 89,435 = 89,435 : x
  2. Step 2: Convert to fraction form
    58,114/89,435 = 89,435/x
  3. Step 3: Cross multiply
    58,114x = 89,435 × 89,435
  4. Step 4: Simplify right side
    58,114x = 7,998,619,225
  5. Step 5: Solve for x
    x = 7,998,619,225/58,114
  6. Step 6: Final answer
    x = 137,636.70

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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.