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Finding the Third Proportional to 97,166 and 142,970

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Solution

The third proportional to 97,166 and 142,970 is: 210,365.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,166 : 142,970 = 142,970 : x
  2. Step 2: Convert to fraction form
    97,166/142,970 = 142,970/x
  3. Step 3: Cross multiply
    97,166x = 142,970 × 142,970
  4. Step 4: Simplify right side
    97,166x = 20,440,420,900
  5. Step 5: Solve for x
    x = 20,440,420,900/97,166
  6. Step 6: Final answer
    x = 210,365.98

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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.