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Finding the Third Proportional to 58,964 and 93,365

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Solution

The third proportional to 58,964 and 93,365 is: 147,836.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,964 : 93,365 = 93,365 : x
  2. Step 2: Convert to fraction form
    58,964/93,365 = 93,365/x
  3. Step 3: Cross multiply
    58,964x = 93,365 × 93,365
  4. Step 4: Simplify right side
    58,964x = 8,717,023,225
  5. Step 5: Solve for x
    x = 8,717,023,225/58,964
  6. Step 6: Final answer
    x = 147,836.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.