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Finding the Third Proportional to 63,046 and 97,622

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Solution

The third proportional to 63,046 and 97,622 is: 151,160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,046 : 97,622 = 97,622 : x
  2. Step 2: Convert to fraction form
    63,046/97,622 = 97,622/x
  3. Step 3: Cross multiply
    63,046x = 97,622 × 97,622
  4. Step 4: Simplify right side
    63,046x = 9,530,054,884
  5. Step 5: Solve for x
    x = 9,530,054,884/63,046
  6. Step 6: Final answer
    x = 151,160.34

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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.