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Finding the Third Proportional to 97,356 and 142,204.50

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Solution

The third proportional to 97,356 and 142,204.50 is: 207,713.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,356 : 142,204.50 = 142,204.50 : x
  2. Step 2: Convert to fraction form
    97,356/142,204.50 = 142,204.50/x
  3. Step 3: Cross multiply
    97,356x = 142,204.50 × 142,204.50
  4. Step 4: Simplify right side
    97,356x = 20,222,119,820.25
  5. Step 5: Solve for x
    x = 20,222,119,820.25/97,356
  6. Step 6: Final answer
    x = 207,713.13

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.