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Finding the Third Proportional to 97,324 and 142,158

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Solution

The third proportional to 97,324 and 142,158 is: 207,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,324 : 142,158 = 142,158 : x
  2. Step 2: Convert to fraction form
    97,324/142,158 = 142,158/x
  3. Step 3: Cross multiply
    97,324x = 142,158 × 142,158
  4. Step 4: Simplify right side
    97,324x = 20,208,896,964
  5. Step 5: Solve for x
    x = 20,208,896,964/97,324
  6. Step 6: Final answer
    x = 207,645.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.