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Finding the Third Proportional to 93,351 and 148,423.50

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Solution

The third proportional to 93,351 and 148,423.50 is: 235,986.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,351 : 148,423.50 = 148,423.50 : x
  2. Step 2: Convert to fraction form
    93,351/148,423.50 = 148,423.50/x
  3. Step 3: Cross multiply
    93,351x = 148,423.50 × 148,423.50
  4. Step 4: Simplify right side
    93,351x = 22,029,535,352.25
  5. Step 5: Solve for x
    x = 22,029,535,352.25/93,351
  6. Step 6: Final answer
    x = 235,986.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.