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Finding the Third Proportional to 62,210 and 97,203

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Solution

The third proportional to 62,210 and 97,203 is: 151,879.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,210 : 97,203 = 97,203 : x
  2. Step 2: Convert to fraction form
    62,210/97,203 = 97,203/x
  3. Step 3: Cross multiply
    62,210x = 97,203 × 97,203
  4. Step 4: Simplify right side
    62,210x = 9,448,423,209
  5. Step 5: Solve for x
    x = 9,448,423,209/62,210
  6. Step 6: Final answer
    x = 151,879.49

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.