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Finding the Third Proportional to 44,952 and 97,678.50

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Solution

The third proportional to 44,952 and 97,678.50 is: 212,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,952 : 97,678.50 = 97,678.50 : x
  2. Step 2: Convert to fraction form
    44,952/97,678.50 = 97,678.50/x
  3. Step 3: Cross multiply
    44,952x = 97,678.50 × 97,678.50
  4. Step 4: Simplify right side
    44,952x = 9,541,089,362.25
  5. Step 5: Solve for x
    x = 9,541,089,362.25/44,952
  6. Step 6: Final answer
    x = 212,250.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.