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Finding the Third Proportional to 56,520 and 83,047

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Solution

The third proportional to 56,520 and 83,047 is: 122,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,520 : 83,047 = 83,047 : x
  2. Step 2: Convert to fraction form
    56,520/83,047 = 83,047/x
  3. Step 3: Cross multiply
    56,520x = 83,047 × 83,047
  4. Step 4: Simplify right side
    56,520x = 6,896,804,209
  5. Step 5: Solve for x
    x = 6,896,804,209/56,520
  6. Step 6: Final answer
    x = 122,024.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.