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Finding the Third Proportional to 97,483.50 and 155,097

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Solution

The third proportional to 97,483.50 and 155,097 is: 246,760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,483.50 : 155,097 = 155,097 : x
  2. Step 2: Convert to fraction form
    97,483.50/155,097 = 155,097/x
  3. Step 3: Cross multiply
    97,483.50x = 155,097 × 155,097
  4. Step 4: Simplify right side
    97,483.50x = 24,055,079,409
  5. Step 5: Solve for x
    x = 24,055,079,409/97,483.50
  6. Step 6: Final answer
    x = 246,760.52

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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.