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Finding the Third Proportional to 60,102 and 130,045.50

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Solution

The third proportional to 60,102 and 130,045.50 is: 281,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,102 : 130,045.50 = 130,045.50 : x
  2. Step 2: Convert to fraction form
    60,102/130,045.50 = 130,045.50/x
  3. Step 3: Cross multiply
    60,102x = 130,045.50 × 130,045.50
  4. Step 4: Simplify right side
    60,102x = 16,911,832,070.25
  5. Step 5: Solve for x
    x = 16,911,832,070.25/60,102
  6. Step 6: Final answer
    x = 281,385.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.