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Finding the Third Proportional to 59,368 and 125,360

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Solution

The third proportional to 59,368 and 125,360 is: 264,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,368 : 125,360 = 125,360 : x
  2. Step 2: Convert to fraction form
    59,368/125,360 = 125,360/x
  3. Step 3: Cross multiply
    59,368x = 125,360 × 125,360
  4. Step 4: Simplify right side
    59,368x = 15,715,129,600
  5. Step 5: Solve for x
    x = 15,715,129,600/59,368
  6. Step 6: Final answer
    x = 264,707.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.