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Finding the Third Proportional to 127,301 and 265,060

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Solution

The third proportional to 127,301 and 265,060 is: 551,895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,301 : 265,060 = 265,060 : x
  2. Step 2: Convert to fraction form
    127,301/265,060 = 265,060/x
  3. Step 3: Cross multiply
    127,301x = 265,060 × 265,060
  4. Step 4: Simplify right side
    127,301x = 70,256,803,600
  5. Step 5: Solve for x
    x = 70,256,803,600/127,301
  6. Step 6: Final answer
    x = 551,895.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.