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Finding the Third Proportional to 52,124.50 and 112,355

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Solution

The third proportional to 52,124.50 and 112,355 is: 242,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,124.50 : 112,355 = 112,355 : x
  2. Step 2: Convert to fraction form
    52,124.50/112,355 = 112,355/x
  3. Step 3: Cross multiply
    52,124.50x = 112,355 × 112,355
  4. Step 4: Simplify right side
    52,124.50x = 12,623,646,025
  5. Step 5: Solve for x
    x = 12,623,646,025/52,124.50
  6. Step 6: Final answer
    x = 242,182.58

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