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Finding the Third Proportional to 97,327 and 130,954

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Solution

The third proportional to 97,327 and 130,954 is: 176,199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,327 : 130,954 = 130,954 : x
  2. Step 2: Convert to fraction form
    97,327/130,954 = 130,954/x
  3. Step 3: Cross multiply
    97,327x = 130,954 × 130,954
  4. Step 4: Simplify right side
    97,327x = 17,148,950,116
  5. Step 5: Solve for x
    x = 17,148,950,116/97,327
  6. Step 6: Final answer
    x = 176,199.31

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.