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Finding the Third Proportional to 103,315 and 151,433

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Solution

The third proportional to 103,315 and 151,433 is: 221,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,315 : 151,433 = 151,433 : x
  2. Step 2: Convert to fraction form
    103,315/151,433 = 151,433/x
  3. Step 3: Cross multiply
    103,315x = 151,433 × 151,433
  4. Step 4: Simplify right side
    103,315x = 22,931,953,489
  5. Step 5: Solve for x
    x = 22,931,953,489/103,315
  6. Step 6: Final answer
    x = 221,961.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.