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Finding the Third Proportional to 77,258.81 and 110,271.38

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Solution

The third proportional to 77,258.81 and 110,271.38 is: 157,390.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,258.81 : 110,271.38 = 110,271.38 : x
  2. Step 2: Convert to fraction form
    77,258.81/110,271.38 = 110,271.38/x
  3. Step 3: Cross multiply
    77,258.81x = 110,271.38 × 110,271.38
  4. Step 4: Simplify right side
    77,258.81x = 12,159,776,144.39
  5. Step 5: Solve for x
    x = 12,159,776,144.39/77,258.81
  6. Step 6: Final answer
    x = 157,390.15

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.