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Finding the Third Proportional to 121,547.50 and 183,998.50

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Solution

The third proportional to 121,547.50 and 183,998.50 is: 278,536.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,547.50 : 183,998.50 = 183,998.50 : x
  2. Step 2: Convert to fraction form
    121,547.50/183,998.50 = 183,998.50/x
  3. Step 3: Cross multiply
    121,547.50x = 183,998.50 × 183,998.50
  4. Step 4: Simplify right side
    121,547.50x = 33,855,448,002.25
  5. Step 5: Solve for x
    x = 33,855,448,002.25/121,547.50
  6. Step 6: Final answer
    x = 278,536.77

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