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Finding the Third Proportional to 48,136 and 74,391

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Solution

The third proportional to 48,136 and 74,391 is: 114,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,136 : 74,391 = 74,391 : x
  2. Step 2: Convert to fraction form
    48,136/74,391 = 74,391/x
  3. Step 3: Cross multiply
    48,136x = 74,391 × 74,391
  4. Step 4: Simplify right side
    48,136x = 5,534,020,881
  5. Step 5: Solve for x
    x = 5,534,020,881/48,136
  6. Step 6: Final answer
    x = 114,966.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.