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Finding the Third Proportional to 58,744 and 89,490

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Solution

The third proportional to 58,744 and 89,490 is: 136,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,744 : 89,490 = 89,490 : x
  2. Step 2: Convert to fraction form
    58,744/89,490 = 89,490/x
  3. Step 3: Cross multiply
    58,744x = 89,490 × 89,490
  4. Step 4: Simplify right side
    58,744x = 8,008,460,100
  5. Step 5: Solve for x
    x = 8,008,460,100/58,744
  6. Step 6: Final answer
    x = 136,328.14

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Why These Related Problems?

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