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Finding the Third Proportional to 121,547 and 183,997.50

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Solution

The third proportional to 121,547 and 183,997.50 is: 278,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,547 : 183,997.50 = 183,997.50 : x
  2. Step 2: Convert to fraction form
    121,547/183,997.50 = 183,997.50/x
  3. Step 3: Cross multiply
    121,547x = 183,997.50 × 183,997.50
  4. Step 4: Simplify right side
    121,547x = 33,855,080,006.25
  5. Step 5: Solve for x
    x = 33,855,080,006.25/121,547
  6. Step 6: Final answer
    x = 278,534.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.