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Finding the Third Proportional to 82,985 and 125,730

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Solution

The third proportional to 82,985 and 125,730 is: 190,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,985 : 125,730 = 125,730 : x
  2. Step 2: Convert to fraction form
    82,985/125,730 = 125,730/x
  3. Step 3: Cross multiply
    82,985x = 125,730 × 125,730
  4. Step 4: Simplify right side
    82,985x = 15,808,032,900
  5. Step 5: Solve for x
    x = 15,808,032,900/82,985
  6. Step 6: Final answer
    x = 190,492.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.