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Finding the Third Proportional to 58,396 and 129,752

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Solution

The third proportional to 58,396 and 129,752 is: 288,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,396 : 129,752 = 129,752 : x
  2. Step 2: Convert to fraction form
    58,396/129,752 = 129,752/x
  3. Step 3: Cross multiply
    58,396x = 129,752 × 129,752
  4. Step 4: Simplify right side
    58,396x = 16,835,581,504
  5. Step 5: Solve for x
    x = 16,835,581,504/58,396
  6. Step 6: Final answer
    x = 288,300.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.