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Finding the Third Proportional to 106,572 and 235,377

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Solution

The third proportional to 106,572 and 235,377 is: 519,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,572 : 235,377 = 235,377 : x
  2. Step 2: Convert to fraction form
    106,572/235,377 = 235,377/x
  3. Step 3: Cross multiply
    106,572x = 235,377 × 235,377
  4. Step 4: Simplify right side
    106,572x = 55,402,332,129
  5. Step 5: Solve for x
    x = 55,402,332,129/106,572
  6. Step 6: Final answer
    x = 519,858.24

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.