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Finding the Third Proportional to 91,457 and 137,429

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Solution

The third proportional to 91,457 and 137,429 is: 206,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,457 : 137,429 = 137,429 : x
  2. Step 2: Convert to fraction form
    91,457/137,429 = 137,429/x
  3. Step 3: Cross multiply
    91,457x = 137,429 × 137,429
  4. Step 4: Simplify right side
    91,457x = 18,886,730,041
  5. Step 5: Solve for x
    x = 18,886,730,041/91,457
  6. Step 6: Final answer
    x = 206,509.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.