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Finding the Third Proportional to 56,133 and 81,582.19

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Solution

The third proportional to 56,133 and 81,582.19 is: 118,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,133 : 81,582.19 = 81,582.19 : x
  2. Step 2: Convert to fraction form
    56,133/81,582.19 = 81,582.19/x
  3. Step 3: Cross multiply
    56,133x = 81,582.19 × 81,582.19
  4. Step 4: Simplify right side
    56,133x = 6,655,653,317.29
  5. Step 5: Solve for x
    x = 6,655,653,317.29/56,133
  6. Step 6: Final answer
    x = 118,569.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.