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Finding the Third Proportional to 123,501 and 265,726.50

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Solution

The third proportional to 123,501 and 265,726.50 is: 571,740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,501 : 265,726.50 = 265,726.50 : x
  2. Step 2: Convert to fraction form
    123,501/265,726.50 = 265,726.50/x
  3. Step 3: Cross multiply
    123,501x = 265,726.50 × 265,726.50
  4. Step 4: Simplify right side
    123,501x = 70,610,572,802.25
  5. Step 5: Solve for x
    x = 70,610,572,802.25/123,501
  6. Step 6: Final answer
    x = 571,740.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.