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Finding the Third Proportional to 52,827.19 and 117,465.19

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Solution

The third proportional to 52,827.19 and 117,465.19 is: 261,192.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,827.19 : 117,465.19 = 117,465.19 : x
  2. Step 2: Convert to fraction form
    52,827.19/117,465.19 = 117,465.19/x
  3. Step 3: Cross multiply
    52,827.19x = 117,465.19 × 117,465.19
  4. Step 4: Simplify right side
    52,827.19x = 13,798,070,274.41
  5. Step 5: Solve for x
    x = 13,798,070,274.41/52,827.19
  6. Step 6: Final answer
    x = 261,192.60

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.