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Finding the Third Proportional to 93,024.75 and 147,842.25

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Solution

The third proportional to 93,024.75 and 147,842.25 is: 234,962.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,024.75 : 147,842.25 = 147,842.25 : x
  2. Step 2: Convert to fraction form
    93,024.75/147,842.25 = 147,842.25/x
  3. Step 3: Cross multiply
    93,024.75x = 147,842.25 × 147,842.25
  4. Step 4: Simplify right side
    93,024.75x = 21,857,330,885.06
  5. Step 5: Solve for x
    x = 21,857,330,885.06/93,024.75
  6. Step 6: Final answer
    x = 234,962.53

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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.