Finding the Third Proportional to 75,413.75 and 148,924
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Solution
The third proportional to 75,413.75 and 148,924 is: 294,089.05
Step by Step Solution
- Step 1: Write the proportion equation
75,413.75 : 148,924 = 148,924 : x - Step 2: Convert to fraction form
75,413.75/148,924 = 148,924/x - Step 3: Cross multiply
75,413.75x = 148,924 × 148,924 - Step 4: Simplify right side
75,413.75x = 22,178,357,776 - Step 5: Solve for x
x = 22,178,357,776/75,413.75 - Step 6: Final answer
x = 294,089.05
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Why These Related Problems?
These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.