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Finding the Third Proportional to 84,681.64 and 124,683.29

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Solution

The third proportional to 84,681.64 and 124,683.29 is: 183,580.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,681.64 : 124,683.29 = 124,683.29 : x
  2. Step 2: Convert to fraction form
    84,681.64/124,683.29 = 124,683.29/x
  3. Step 3: Cross multiply
    84,681.64x = 124,683.29 × 124,683.29
  4. Step 4: Simplify right side
    84,681.64x = 15,545,923,819.49
  5. Step 5: Solve for x
    x = 15,545,923,819.49/84,681.64
  6. Step 6: Final answer
    x = 183,580.80

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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.