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Finding the Third Proportional to 105,045.50 and 151,007

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Solution

The third proportional to 105,045.50 and 151,007 is: 217,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,045.50 : 151,007 = 151,007 : x
  2. Step 2: Convert to fraction form
    105,045.50/151,007 = 151,007/x
  3. Step 3: Cross multiply
    105,045.50x = 151,007 × 151,007
  4. Step 4: Simplify right side
    105,045.50x = 22,803,114,049
  5. Step 5: Solve for x
    x = 22,803,114,049/105,045.50
  6. Step 6: Final answer
    x = 217,078.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.