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Finding the Third Proportional to 97,202 and 145,803

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Solution

The third proportional to 97,202 and 145,803 is: 218,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,202 : 145,803 = 145,803 : x
  2. Step 2: Convert to fraction form
    97,202/145,803 = 145,803/x
  3. Step 3: Cross multiply
    97,202x = 145,803 × 145,803
  4. Step 4: Simplify right side
    97,202x = 21,258,514,809
  5. Step 5: Solve for x
    x = 21,258,514,809/97,202
  6. Step 6: Final answer
    x = 218,704.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.