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Finding the Third Proportional to 127,836 and 242,550

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Solution

The third proportional to 127,836 and 242,550 is: 460,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,836 : 242,550 = 242,550 : x
  2. Step 2: Convert to fraction form
    127,836/242,550 = 242,550/x
  3. Step 3: Cross multiply
    127,836x = 242,550 × 242,550
  4. Step 4: Simplify right side
    127,836x = 58,830,502,500
  5. Step 5: Solve for x
    x = 58,830,502,500/127,836
  6. Step 6: Final answer
    x = 460,202.94

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.