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Finding the Third Proportional to 51,819 and 112,386.50

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Solution

The third proportional to 51,819 and 112,386.50 is: 243,746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,819 : 112,386.50 = 112,386.50 : x
  2. Step 2: Convert to fraction form
    51,819/112,386.50 = 112,386.50/x
  3. Step 3: Cross multiply
    51,819x = 112,386.50 × 112,386.50
  4. Step 4: Simplify right side
    51,819x = 12,630,725,382.25
  5. Step 5: Solve for x
    x = 12,630,725,382.25/51,819
  6. Step 6: Final answer
    x = 243,746.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.