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Finding the Third Proportional to 124,740 and 164,767.50

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Solution

The third proportional to 124,740 and 164,767.50 is: 217,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,740 : 164,767.50 = 164,767.50 : x
  2. Step 2: Convert to fraction form
    124,740/164,767.50 = 164,767.50/x
  3. Step 3: Cross multiply
    124,740x = 164,767.50 × 164,767.50
  4. Step 4: Simplify right side
    124,740x = 27,148,329,056.25
  5. Step 5: Solve for x
    x = 27,148,329,056.25/124,740
  6. Step 6: Final answer
    x = 217,639.32

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.