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Finding the Third Proportional to 56,901.87 and 123,030.14

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Solution

The third proportional to 56,901.87 and 123,030.14 is: 266,009.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,901.87 : 123,030.14 = 123,030.14 : x
  2. Step 2: Convert to fraction form
    56,901.87/123,030.14 = 123,030.14/x
  3. Step 3: Cross multiply
    56,901.87x = 123,030.14 × 123,030.14
  4. Step 4: Simplify right side
    56,901.87x = 15,136,415,502.21
  5. Step 5: Solve for x
    x = 15,136,415,502.21/56,901.87
  6. Step 6: Final answer
    x = 266,009.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.