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Finding the Third Proportional to 127,624 and 265,752

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Solution

The third proportional to 127,624 and 265,752 is: 553,376.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,624 : 265,752 = 265,752 : x
  2. Step 2: Convert to fraction form
    127,624/265,752 = 265,752/x
  3. Step 3: Cross multiply
    127,624x = 265,752 × 265,752
  4. Step 4: Simplify right side
    127,624x = 70,624,125,504
  5. Step 5: Solve for x
    x = 70,624,125,504/127,624
  6. Step 6: Final answer
    x = 553,376.52

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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.