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Finding the Third Proportional to 59,360 and 130,386

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Solution

The third proportional to 59,360 and 130,386 is: 286,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,360 : 130,386 = 130,386 : x
  2. Step 2: Convert to fraction form
    59,360/130,386 = 130,386/x
  3. Step 3: Cross multiply
    59,360x = 130,386 × 130,386
  4. Step 4: Simplify right side
    59,360x = 17,000,508,996
  5. Step 5: Solve for x
    x = 17,000,508,996/59,360
  6. Step 6: Final answer
    x = 286,396.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.