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Finding the Third Proportional to 97,164 and 142,967

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Solution

The third proportional to 97,164 and 142,967 is: 210,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,164 : 142,967 = 142,967 : x
  2. Step 2: Convert to fraction form
    97,164/142,967 = 142,967/x
  3. Step 3: Cross multiply
    97,164x = 142,967 × 142,967
  4. Step 4: Simplify right side
    97,164x = 20,439,563,089
  5. Step 5: Solve for x
    x = 20,439,563,089/97,164
  6. Step 6: Final answer
    x = 210,361.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.