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Finding the Third Proportional to 52,862.63 and 79,277.06

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Solution

The third proportional to 52,862.63 and 79,277.06 is: 118,890.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,862.63 : 79,277.06 = 79,277.06 : x
  2. Step 2: Convert to fraction form
    52,862.63/79,277.06 = 79,277.06/x
  3. Step 3: Cross multiply
    52,862.63x = 79,277.06 × 79,277.06
  4. Step 4: Simplify right side
    52,862.63x = 6,284,852,638.63
  5. Step 5: Solve for x
    x = 6,284,852,638.63/52,862.63
  6. Step 6: Final answer
    x = 118,890.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.