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Finding the Third Proportional to 59,306 and 130,276

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Solution

The third proportional to 59,306 and 130,276 is: 286,174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,306 : 130,276 = 130,276 : x
  2. Step 2: Convert to fraction form
    59,306/130,276 = 130,276/x
  3. Step 3: Cross multiply
    59,306x = 130,276 × 130,276
  4. Step 4: Simplify right side
    59,306x = 16,971,836,176
  5. Step 5: Solve for x
    x = 16,971,836,176/59,306
  6. Step 6: Final answer
    x = 286,174.02

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Why These Related Problems?

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