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Finding the Third Proportional to 97,252 and 139,070

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Solution

The third proportional to 97,252 and 139,070 is: 198,869.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,252 : 139,070 = 139,070 : x
  2. Step 2: Convert to fraction form
    97,252/139,070 = 139,070/x
  3. Step 3: Cross multiply
    97,252x = 139,070 × 139,070
  4. Step 4: Simplify right side
    97,252x = 19,340,464,900
  5. Step 5: Solve for x
    x = 19,340,464,900/97,252
  6. Step 6: Final answer
    x = 198,869.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.