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Finding the Third Proportional to 121,335 and 183,699.50

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Solution

The third proportional to 121,335 and 183,699.50 is: 278,118.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,335 : 183,699.50 = 183,699.50 : x
  2. Step 2: Convert to fraction form
    121,335/183,699.50 = 183,699.50/x
  3. Step 3: Cross multiply
    121,335x = 183,699.50 × 183,699.50
  4. Step 4: Simplify right side
    121,335x = 33,745,506,300.25
  5. Step 5: Solve for x
    x = 33,745,506,300.25/121,335
  6. Step 6: Final answer
    x = 278,118.48

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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.