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Finding the Third Proportional to 97,547 and 145,904.50

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Solution

The third proportional to 97,547 and 145,904.50 is: 218,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,547 : 145,904.50 = 145,904.50 : x
  2. Step 2: Convert to fraction form
    97,547/145,904.50 = 145,904.50/x
  3. Step 3: Cross multiply
    97,547x = 145,904.50 × 145,904.50
  4. Step 4: Simplify right side
    97,547x = 21,288,123,120.25
  5. Step 5: Solve for x
    x = 21,288,123,120.25/97,547
  6. Step 6: Final answer
    x = 218,234.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.