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Finding the Third Proportional to 63,915.75 and 102,110.63

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Solution

The third proportional to 63,915.75 and 102,110.63 is: 163,130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,915.75 : 102,110.63 = 102,110.63 : x
  2. Step 2: Convert to fraction form
    63,915.75/102,110.63 = 102,110.63/x
  3. Step 3: Cross multiply
    63,915.75x = 102,110.63 × 102,110.63
  4. Step 4: Simplify right side
    63,915.75x = 10,426,579,737.89
  5. Step 5: Solve for x
    x = 10,426,579,737.89/63,915.75
  6. Step 6: Final answer
    x = 163,130.05

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.