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Finding the Third Proportional to 90,301.50 and 139,748.63

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Solution

The third proportional to 90,301.50 and 139,748.63 is: 216,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,301.50 : 139,748.63 = 139,748.63 : x
  2. Step 2: Convert to fraction form
    90,301.50/139,748.63 = 139,748.63/x
  3. Step 3: Cross multiply
    90,301.50x = 139,748.63 × 139,748.63
  4. Step 4: Simplify right side
    90,301.50x = 19,529,678,189.39
  5. Step 5: Solve for x
    x = 19,529,678,189.39/90,301.50
  6. Step 6: Final answer
    x = 216,271.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.