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Finding the Third Proportional to 121,602 and 265,127

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Solution

The third proportional to 121,602 and 265,127 is: 578,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,602 : 265,127 = 265,127 : x
  2. Step 2: Convert to fraction form
    121,602/265,127 = 265,127/x
  3. Step 3: Cross multiply
    121,602x = 265,127 × 265,127
  4. Step 4: Simplify right side
    121,602x = 70,292,326,129
  5. Step 5: Solve for x
    x = 70,292,326,129/121,602
  6. Step 6: Final answer
    x = 578,052.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.