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Finding the Third Proportional to 89,827.13 and 149,702.63

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Solution

The third proportional to 89,827.13 and 149,702.63 is: 249,488.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,827.13 : 149,702.63 = 149,702.63 : x
  2. Step 2: Convert to fraction form
    89,827.13/149,702.63 = 149,702.63/x
  3. Step 3: Cross multiply
    89,827.13x = 149,702.63 × 149,702.63
  4. Step 4: Simplify right side
    89,827.13x = 22,410,875,931.89
  5. Step 5: Solve for x
    x = 22,410,875,931.89/89,827.13
  6. Step 6: Final answer
    x = 249,488.96

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.