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Finding the Third Proportional to 93,042 and 119,475

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Solution

The third proportional to 93,042 and 119,475 is: 153,417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,042 : 119,475 = 119,475 : x
  2. Step 2: Convert to fraction form
    93,042/119,475 = 119,475/x
  3. Step 3: Cross multiply
    93,042x = 119,475 × 119,475
  4. Step 4: Simplify right side
    93,042x = 14,274,275,625
  5. Step 5: Solve for x
    x = 14,274,275,625/93,042
  6. Step 6: Final answer
    x = 153,417.55

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.