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Finding the Third Proportional to 65,748 and 136,152

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Solution

The third proportional to 65,748 and 136,152 is: 281,945.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,748 : 136,152 = 136,152 : x
  2. Step 2: Convert to fraction form
    65,748/136,152 = 136,152/x
  3. Step 3: Cross multiply
    65,748x = 136,152 × 136,152
  4. Step 4: Simplify right side
    65,748x = 18,537,367,104
  5. Step 5: Solve for x
    x = 18,537,367,104/65,748
  6. Step 6: Final answer
    x = 281,945.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.