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Finding the Third Proportional to 60,111 and 93,070.13

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Solution

The third proportional to 60,111 and 93,070.13 is: 144,100.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,111 : 93,070.13 = 93,070.13 : x
  2. Step 2: Convert to fraction form
    60,111/93,070.13 = 93,070.13/x
  3. Step 3: Cross multiply
    60,111x = 93,070.13 × 93,070.13
  4. Step 4: Simplify right side
    60,111x = 8,662,048,167.52
  5. Step 5: Solve for x
    x = 8,662,048,167.52/60,111
  6. Step 6: Final answer
    x = 144,100.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.