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Finding the Third Proportional to 58,908 and 89,220

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Solution

The third proportional to 58,908 and 89,220 is: 135,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,908 : 89,220 = 89,220 : x
  2. Step 2: Convert to fraction form
    58,908/89,220 = 89,220/x
  3. Step 3: Cross multiply
    58,908x = 89,220 × 89,220
  4. Step 4: Simplify right side
    58,908x = 7,960,208,400
  5. Step 5: Solve for x
    x = 7,960,208,400/58,908
  6. Step 6: Final answer
    x = 135,129.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.