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Finding the Third Proportional to 66,955 and 101,118

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Solution

The third proportional to 66,955 and 101,118 is: 152,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,955 : 101,118 = 101,118 : x
  2. Step 2: Convert to fraction form
    66,955/101,118 = 101,118/x
  3. Step 3: Cross multiply
    66,955x = 101,118 × 101,118
  4. Step 4: Simplify right side
    66,955x = 10,224,849,924
  5. Step 5: Solve for x
    x = 10,224,849,924/66,955
  6. Step 6: Final answer
    x = 152,712.27

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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.