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Finding the Third Proportional to 97,160 and 142,961

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Solution

The third proportional to 97,160 and 142,961 is: 210,352.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,160 : 142,961 = 142,961 : x
  2. Step 2: Convert to fraction form
    97,160/142,961 = 142,961/x
  3. Step 3: Cross multiply
    97,160x = 142,961 × 142,961
  4. Step 4: Simplify right side
    97,160x = 20,437,847,521
  5. Step 5: Solve for x
    x = 20,437,847,521/97,160
  6. Step 6: Final answer
    x = 210,352.49

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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.