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Finding the Third Proportional to 58,744 and 94,585

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Solution

The third proportional to 58,744 and 94,585 is: 152,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,744 : 94,585 = 94,585 : x
  2. Step 2: Convert to fraction form
    58,744/94,585 = 94,585/x
  3. Step 3: Cross multiply
    58,744x = 94,585 × 94,585
  4. Step 4: Simplify right side
    58,744x = 8,946,322,225
  5. Step 5: Solve for x
    x = 8,946,322,225/58,744
  6. Step 6: Final answer
    x = 152,293.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.