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Finding the Third Proportional to 65,070 and 138,726

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Solution

The third proportional to 65,070 and 138,726 is: 295,756.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,070 : 138,726 = 138,726 : x
  2. Step 2: Convert to fraction form
    65,070/138,726 = 138,726/x
  3. Step 3: Cross multiply
    65,070x = 138,726 × 138,726
  4. Step 4: Simplify right side
    65,070x = 19,244,903,076
  5. Step 5: Solve for x
    x = 19,244,903,076/65,070
  6. Step 6: Final answer
    x = 295,756.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.