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Finding the Third Proportional to 65,370 and 101,010

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Solution

The third proportional to 65,370 and 101,010 is: 156,081.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,370 : 101,010 = 101,010 : x
  2. Step 2: Convert to fraction form
    65,370/101,010 = 101,010/x
  3. Step 3: Cross multiply
    65,370x = 101,010 × 101,010
  4. Step 4: Simplify right side
    65,370x = 10,203,020,100
  5. Step 5: Solve for x
    x = 10,203,020,100/65,370
  6. Step 6: Final answer
    x = 156,081.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.