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Finding the Third Proportional to 121,290.50 and 189,316

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Solution

The third proportional to 121,290.50 and 189,316 is: 295,493.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,290.50 : 189,316 = 189,316 : x
  2. Step 2: Convert to fraction form
    121,290.50/189,316 = 189,316/x
  3. Step 3: Cross multiply
    121,290.50x = 189,316 × 189,316
  4. Step 4: Simplify right side
    121,290.50x = 35,840,547,856
  5. Step 5: Solve for x
    x = 35,840,547,856/121,290.50
  6. Step 6: Final answer
    x = 295,493.45

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.