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Finding the Third Proportional to 59,312 and 130,288

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Solution

The third proportional to 59,312 and 130,288 is: 286,197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,312 : 130,288 = 130,288 : x
  2. Step 2: Convert to fraction form
    59,312/130,288 = 130,288/x
  3. Step 3: Cross multiply
    59,312x = 130,288 × 130,288
  4. Step 4: Simplify right side
    59,312x = 16,974,962,944
  5. Step 5: Solve for x
    x = 16,974,962,944/59,312
  6. Step 6: Final answer
    x = 286,197.78

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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.