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Finding the Third Proportional to 59,264 and 128,365

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Solution

The third proportional to 59,264 and 128,365 is: 278,036.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,264 : 128,365 = 128,365 : x
  2. Step 2: Convert to fraction form
    59,264/128,365 = 128,365/x
  3. Step 3: Cross multiply
    59,264x = 128,365 × 128,365
  4. Step 4: Simplify right side
    59,264x = 16,477,573,225
  5. Step 5: Solve for x
    x = 16,477,573,225/59,264
  6. Step 6: Final answer
    x = 278,036.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.