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Finding the Third Proportional to 123,070 and 265,000

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Solution

The third proportional to 123,070 and 265,000 is: 570,610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,070 : 265,000 = 265,000 : x
  2. Step 2: Convert to fraction form
    123,070/265,000 = 265,000/x
  3. Step 3: Cross multiply
    123,070x = 265,000 × 265,000
  4. Step 4: Simplify right side
    123,070x = 70,225,000,000
  5. Step 5: Solve for x
    x = 70,225,000,000/123,070
  6. Step 6: Final answer
    x = 570,610.22

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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.