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Finding the Third Proportional to 52,184.25 and 112,681.13

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Solution

The third proportional to 52,184.25 and 112,681.13 is: 243,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,184.25 : 112,681.13 = 112,681.13 : x
  2. Step 2: Convert to fraction form
    52,184.25/112,681.13 = 112,681.13/x
  3. Step 3: Cross multiply
    52,184.25x = 112,681.13 × 112,681.13
  4. Step 4: Simplify right side
    52,184.25x = 12,697,035,931.27
  5. Step 5: Solve for x
    x = 12,697,035,931.27/52,184.25
  6. Step 6: Final answer
    x = 243,311.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.