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Finding the Third Proportional to 127,575 and 265,644.56

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Solution

The third proportional to 127,575 and 265,644.56 is: 553,141.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,575 : 265,644.56 = 265,644.56 : x
  2. Step 2: Convert to fraction form
    127,575/265,644.56 = 265,644.56/x
  3. Step 3: Cross multiply
    127,575x = 265,644.56 × 265,644.56
  4. Step 4: Simplify right side
    127,575x = 70,567,033,585.82
  5. Step 5: Solve for x
    x = 70,567,033,585.82/127,575
  6. Step 6: Final answer
    x = 553,141.55

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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.