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Finding the Third Proportional to 123,050.81 and 265,307.06

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Solution

The third proportional to 123,050.81 and 265,307.06 is: 572,022.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,050.81 : 265,307.06 = 265,307.06 : x
  2. Step 2: Convert to fraction form
    123,050.81/265,307.06 = 265,307.06/x
  3. Step 3: Cross multiply
    123,050.81x = 265,307.06 × 265,307.06
  4. Step 4: Simplify right side
    123,050.81x = 70,387,837,412.38
  5. Step 5: Solve for x
    x = 70,387,837,412.38/123,050.81
  6. Step 6: Final answer
    x = 572,022.53

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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.