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Finding the Third Proportional to 74,097 and 109,859.06

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Solution

The third proportional to 74,097 and 109,859.06 is: 162,881.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,097 : 109,859.06 = 109,859.06 : x
  2. Step 2: Convert to fraction form
    74,097/109,859.06 = 109,859.06/x
  3. Step 3: Cross multiply
    74,097x = 109,859.06 × 109,859.06
  4. Step 4: Simplify right side
    74,097x = 12,069,013,613.38
  5. Step 5: Solve for x
    x = 12,069,013,613.38/74,097
  6. Step 6: Final answer
    x = 162,881.27

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.