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Finding the Third Proportional to 98,207 and 151,038

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Solution

The third proportional to 98,207 and 151,038 is: 232,289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,207 : 151,038 = 151,038 : x
  2. Step 2: Convert to fraction form
    98,207/151,038 = 151,038/x
  3. Step 3: Cross multiply
    98,207x = 151,038 × 151,038
  4. Step 4: Simplify right side
    98,207x = 22,812,477,444
  5. Step 5: Solve for x
    x = 22,812,477,444/98,207
  6. Step 6: Final answer
    x = 232,289.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.