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Finding the Third Proportional to 64,442 and 130,702

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Solution

The third proportional to 64,442 and 130,702 is: 265,091.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,442 : 130,702 = 130,702 : x
  2. Step 2: Convert to fraction form
    64,442/130,702 = 130,702/x
  3. Step 3: Cross multiply
    64,442x = 130,702 × 130,702
  4. Step 4: Simplify right side
    64,442x = 17,083,012,804
  5. Step 5: Solve for x
    x = 17,083,012,804/64,442
  6. Step 6: Final answer
    x = 265,091.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.