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Finding the Third Proportional to 59,232 and 126,656

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Solution

The third proportional to 59,232 and 126,656 is: 270,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,232 : 126,656 = 126,656 : x
  2. Step 2: Convert to fraction form
    59,232/126,656 = 126,656/x
  3. Step 3: Cross multiply
    59,232x = 126,656 × 126,656
  4. Step 4: Simplify right side
    59,232x = 16,041,742,336
  5. Step 5: Solve for x
    x = 16,041,742,336/59,232
  6. Step 6: Final answer
    x = 270,828.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.