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Finding the Third Proportional to 55,946.38 and 121,730.50

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Solution

The third proportional to 55,946.38 and 121,730.50 is: 264,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,946.38 : 121,730.50 = 121,730.50 : x
  2. Step 2: Convert to fraction form
    55,946.38/121,730.50 = 121,730.50/x
  3. Step 3: Cross multiply
    55,946.38x = 121,730.50 × 121,730.50
  4. Step 4: Simplify right side
    55,946.38x = 14,818,314,630.25
  5. Step 5: Solve for x
    x = 14,818,314,630.25/55,946.38
  6. Step 6: Final answer
    x = 264,866.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.