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Finding the Third Proportional to 58,413 and 136,798.50

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Solution

The third proportional to 58,413 and 136,798.50 is: 320,370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,413 : 136,798.50 = 136,798.50 : x
  2. Step 2: Convert to fraction form
    58,413/136,798.50 = 136,798.50/x
  3. Step 3: Cross multiply
    58,413x = 136,798.50 × 136,798.50
  4. Step 4: Simplify right side
    58,413x = 18,713,829,602.25
  5. Step 5: Solve for x
    x = 18,713,829,602.25/58,413
  6. Step 6: Final answer
    x = 320,370.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.