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Finding the Third Proportional to 93,138.61 and 147,545.30

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Solution

The third proportional to 93,138.61 and 147,545.30 is: 233,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,138.61 : 147,545.30 = 147,545.30 : x
  2. Step 2: Convert to fraction form
    93,138.61/147,545.30 = 147,545.30/x
  3. Step 3: Cross multiply
    93,138.61x = 147,545.30 × 147,545.30
  4. Step 4: Simplify right side
    93,138.61x = 21,769,614,629.93
  5. Step 5: Solve for x
    x = 21,769,614,629.93/93,138.61
  6. Step 6: Final answer
    x = 233,733.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.