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Finding the Third Proportional to 93,713.63 and 137,053.69

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Solution

The third proportional to 93,713.63 and 137,053.69 is: 200,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,713.63 : 137,053.69 = 137,053.69 : x
  2. Step 2: Convert to fraction form
    93,713.63/137,053.69 = 137,053.69/x
  3. Step 3: Cross multiply
    93,713.63x = 137,053.69 × 137,053.69
  4. Step 4: Simplify right side
    93,713.63x = 18,783,713,257.35
  5. Step 5: Solve for x
    x = 18,783,713,257.35/93,713.63
  6. Step 6: Final answer
    x = 200,437.38

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.