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Finding the Third Proportional to 105,044 and 153,050

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Solution

The third proportional to 105,044 and 153,050 is: 222,995.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,044 : 153,050 = 153,050 : x
  2. Step 2: Convert to fraction form
    105,044/153,050 = 153,050/x
  3. Step 3: Cross multiply
    105,044x = 153,050 × 153,050
  4. Step 4: Simplify right side
    105,044x = 23,424,302,500
  5. Step 5: Solve for x
    x = 23,424,302,500/105,044
  6. Step 6: Final answer
    x = 222,995.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.