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Finding the Third Proportional to 53,294 and 79,574

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Solution

The third proportional to 53,294 and 79,574 is: 118,813.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,294 : 79,574 = 79,574 : x
  2. Step 2: Convert to fraction form
    53,294/79,574 = 79,574/x
  3. Step 3: Cross multiply
    53,294x = 79,574 × 79,574
  4. Step 4: Simplify right side
    53,294x = 6,332,021,476
  5. Step 5: Solve for x
    x = 6,332,021,476/53,294
  6. Step 6: Final answer
    x = 118,813.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.