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Finding the Third Proportional to 52,136 and 74,284

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Solution

The third proportional to 52,136 and 74,284 is: 105,840.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,136 : 74,284 = 74,284 : x
  2. Step 2: Convert to fraction form
    52,136/74,284 = 74,284/x
  3. Step 3: Cross multiply
    52,136x = 74,284 × 74,284
  4. Step 4: Simplify right side
    52,136x = 5,518,112,656
  5. Step 5: Solve for x
    x = 5,518,112,656/52,136
  6. Step 6: Final answer
    x = 105,840.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.