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Finding the Third Proportional to 59,332 and 130,346

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Solution

The third proportional to 59,332 and 130,346 is: 286,356.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,332 : 130,346 = 130,346 : x
  2. Step 2: Convert to fraction form
    59,332/130,346 = 130,346/x
  3. Step 3: Cross multiply
    59,332x = 130,346 × 130,346
  4. Step 4: Simplify right side
    59,332x = 16,990,079,716
  5. Step 5: Solve for x
    x = 16,990,079,716/59,332
  6. Step 6: Final answer
    x = 286,356.09

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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.