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Finding the Third Proportional to 70,681.13 and 103,901.63

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Solution

The third proportional to 70,681.13 and 103,901.63 is: 152,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,681.13 : 103,901.63 = 103,901.63 : x
  2. Step 2: Convert to fraction form
    70,681.13/103,901.63 = 103,901.63/x
  3. Step 3: Cross multiply
    70,681.13x = 103,901.63 × 103,901.63
  4. Step 4: Simplify right side
    70,681.13x = 10,795,547,677.64
  5. Step 5: Solve for x
    x = 10,795,547,677.64/70,681.13
  6. Step 6: Final answer
    x = 152,735.93

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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.