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Finding the Third Proportional to 123,130 and 265,700

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Solution

The third proportional to 123,130 and 265,700 is: 573,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,130 : 265,700 = 265,700 : x
  2. Step 2: Convert to fraction form
    123,130/265,700 = 265,700/x
  3. Step 3: Cross multiply
    123,130x = 265,700 × 265,700
  4. Step 4: Simplify right side
    123,130x = 70,596,490,000
  5. Step 5: Solve for x
    x = 70,596,490,000/123,130
  6. Step 6: Final answer
    x = 573,349.22

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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.