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Finding the Third Proportional to 58,410 and 85,539

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Solution

The third proportional to 58,410 and 85,539 is: 125,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,410 : 85,539 = 85,539 : x
  2. Step 2: Convert to fraction form
    58,410/85,539 = 85,539/x
  3. Step 3: Cross multiply
    58,410x = 85,539 × 85,539
  4. Step 4: Simplify right side
    58,410x = 7,316,920,521
  5. Step 5: Solve for x
    x = 7,316,920,521/58,410
  6. Step 6: Final answer
    x = 125,268.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.