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Finding the Third Proportional to 53,136 and 81,411.75

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Solution

The third proportional to 53,136 and 81,411.75 is: 124,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,136 : 81,411.75 = 81,411.75 : x
  2. Step 2: Convert to fraction form
    53,136/81,411.75 = 81,411.75/x
  3. Step 3: Cross multiply
    53,136x = 81,411.75 × 81,411.75
  4. Step 4: Simplify right side
    53,136x = 6,627,873,038.06
  5. Step 5: Solve for x
    x = 6,627,873,038.06/53,136
  6. Step 6: Final answer
    x = 124,734.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.