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Finding the Third Proportional to 97,421 and 152,283

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Solution

The third proportional to 97,421 and 152,283 is: 238,040.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,421 : 152,283 = 152,283 : x
  2. Step 2: Convert to fraction form
    97,421/152,283 = 152,283/x
  3. Step 3: Cross multiply
    97,421x = 152,283 × 152,283
  4. Step 4: Simplify right side
    97,421x = 23,190,112,089
  5. Step 5: Solve for x
    x = 23,190,112,089/97,421
  6. Step 6: Final answer
    x = 238,040.18

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Why These Related Problems?

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