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Finding the Third Proportional to 66,965 and 101,312

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Solution

The third proportional to 66,965 and 101,312 is: 153,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,965 : 101,312 = 101,312 : x
  2. Step 2: Convert to fraction form
    66,965/101,312 = 101,312/x
  3. Step 3: Cross multiply
    66,965x = 101,312 × 101,312
  4. Step 4: Simplify right side
    66,965x = 10,264,121,344
  5. Step 5: Solve for x
    x = 10,264,121,344/66,965
  6. Step 6: Final answer
    x = 153,275.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.