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Finding the Third Proportional to 97,222 and 139,030

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Solution

The third proportional to 97,222 and 139,030 is: 198,816.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,222 : 139,030 = 139,030 : x
  2. Step 2: Convert to fraction form
    97,222/139,030 = 139,030/x
  3. Step 3: Cross multiply
    97,222x = 139,030 × 139,030
  4. Step 4: Simplify right side
    97,222x = 19,329,340,900
  5. Step 5: Solve for x
    x = 19,329,340,900/97,222
  6. Step 6: Final answer
    x = 198,816.53

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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.